Rotational Motion questions with solutions

Showing 1–10 of 415 questions

• Multi-correctmediumRotational MotionCombined Translational & Rotational Motion

  A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is θ. Which of the following statements about its motion is/are correct ?

  

  Select all that apply

  • Option A

    When the bar makes an angle θ with the vertical, the displacement of its midpoint from the initial position is proportional to (1 - cos θ).

  • Option B

    The midpoint of the bar will fall vertically downward.

  • Option C

    Instantaneous torque about the point in contact with the floor is proportional to sin θ.

  • Option D

    The trajectory of the point A is a parabola.

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  JEE Advanced 2017

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• MCQmediumRotational MotionAngular Momentum & Its Conservation

  A man spinning in free space changes the shape of his body, eg. by spreading his arms or curling up. By doing this, he can not change his

  Options

  • Option A

    moment of inertia

  • Option B

    angular momentum, rotational kinetic energy

  • Option C

    angular velocity, moment of inertia

  • Option D

    rotational kinetic energy

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  JEE Mains

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• MCQeasyRotational MotionTorque & Rotational Equilibrium

  If $\vec{F}$ acts at position vector $\vec{r}$ , with torque $\vec{\tau}$ about the origin, which relations are always correct?

  Options

  • Option A

    $\vec{r}.\vec{\tau}$≠0 and $\vec{F}.\vec{\tau}$=0

  • Option B

    $\vec{r}.\vec{\tau}$>0 and $\vec{F}.\vec{\tau}$<0

  • Option C

    $\vec{r}.\vec{\tau}$=0 and $\vec{F}.\vec{\tau}$=0

  • Option D

    $\vec{r}.\vec{\tau}$=0 and $\vec{F}.\vec{\tau}$≠0

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  AIPMT Screening 2009NEET

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A small sphere A of mass m and radius r rolls without slipping inside a large fixed hemispherical bowl of radius R (>> r) as shown in figure. If the sphere starts from rest at the top point of the hemisphere find the normal force exerted by the small sphere on the hemisphere when it is at the bottom B of the hemisphere.

  

  Options

  • Option A

    10/7 mg

  • Option B

    17/7 mg

  • Option C

    5/7mg

  • Option D

    7/5 mg

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  JEE Advanced

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• IntegereasyRotational MotionRotational Constraint Motion

  A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled by a force 52.5 N. Find the angular acceleration in rad s⁻².

  Your answer

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  13 April 2023 Evening Shift

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• NumericmediumRotational MotionTorque & Rotational Equilibrium

  A uniform metre scale is supported on two index fingers initially at 0.00 cm and 90.00 cm. As the fingers are slowly moved toward the centre, they alternately stick and slip. The right finger eventually stops at a distance denoted xR from the 50.00 cm mark. Given µₛ = 0.40 and µₖ = 0.32, find xR in cm.

  Your answer

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  JEE Advanced 2020

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• MCQmediumRotational MotionAngular Momentum & Its Conservation

  When the position vector. $\vec{r}$ = xî + yĵ + zk̂ changes sign as -$\vec{r}$, which one of the following vector will not flip under sign change ?

  Options

  • Option A

    Linear momentum

  • Option B

    Velocity

  • Option C

    Acceleration

  • Option D

    Angular momentum

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  JEE Mains 202628 January Evening Shift

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• MCQmediumRotational MotionCombined Translational & Rotational Motion

  A solid sphere rolls without slipping. If Kₜ is its translational kinetic energy and Kᵣ its rotational kinetic energy, find Kₜ:(Kₜ+Kᵣ).

  Options

  • Option A

    10:7

  • Option B

    5:7

  • Option C

    7:10

  • Option D

    2:5

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  NEET 2018AIPMT 1991NEET

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• MCQmediumRotational MotionAngular Momentum & Its Conservation

  A uniform ring rotates about the vertical axis shown with initial angular speed ω. An insect of the same mass as the ring walks from P₁ to P₂. If no external torque acts about the axis, what is the final angular speed of the ring?

  

  Options

  • Option A

    ω/2

  • Option B

    ω/3

  • Option C

    2ω/3

  • Option D

    ω/4

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  JEE Advanced

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• MCQeasyRotational MotionPure Rotation About a Fixed Axis

  A wheel starts with angular speed 2 rad/s and has constant angular acceleration 3 rad/s². Through what angle does it turn in 2 seconds?

  Options

  • Option A

    10 rad

  • Option B

    12 rad

  • Option C

    4 rad

  • Option D

    6 rad

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  AIPMT 2007NEET

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